288958464 has 144 divisors (see below), whose sum is σ = 851547060. Its totient is φ = 94371840.

The previous prime is 288958463. The next prime is 288958507. The reversal of 288958464 is 464859882.

It can be written as a sum of positive squares in 2 ways, for example, as 288728064 + 230400 = 16992^2 + 480^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 288958464.

It is not an unprimeable number, because it can be changed into a prime (288958463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1124224 + ... + 1124480.

Almost surely, 2^288958464 is an apocalyptic number.

288958464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288958464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425773530).

288958464 is an abundant number, since it is smaller than the sum of its proper divisors (562588596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

288958464 is a wasteful number, since it uses less digits than its factorization.

288958464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 323 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 288958464 is about 16998.7783090433. The cubic root of 288958464 is about 661.1172261866.

The spelling of 288958464 in words is "two hundred eighty-eight million, nine hundred fifty-eight thousand, four hundred sixty-four".